Preliminary Questions
1. Circular motion at constant speed is not a natural state of motion because straight line motion is the natural state of motion (according to Galileo). This can also be seen through Newton's law, an object in motion will stay in motion unless acted upon by an outside force. It can be seen through a diagram of circular motion, in which you see that there is a constant acceleration towards the center of the circle:
external image circular_motion_1.png
2. The change in motion of an object per unit of time is called the speed of an object. Another word that can b used is velocity, but it is a vector meaning it has both magnitude and direction. Newton's first law adequately expresses it's relationship with a net force because an object that is still will stay still until acted upon by a net force (which will cause it to start moving and gain speed (accelerate))

3. The center-seeking force that is used in circular motion is called centrepetal force. It can be seen in this lab in the force of wieghts. The lab also shows how as the centrepetal force increases, so does the velocity of the spinning object.

Graph Plotting
Spinning_Ninja_Velocity.PNG
Spinning_Ninja_Velocity_Squared.PNG
The slope equals 0.01 and this is acturate because it is relating the square of the velocity to centripetal force and the slope is relative to the amount of grams added to each trial. (Equation for centripetal force is hanging mass x 10 N/kg, meaning the slope of 0.01 is related to 0.001 in this way and therefore shows how the change is grams is related exponentially to the square of velocity).

Analysis
1. The hand of the user provides the centripetal force needed to keep the stopper moving in a circle, but the hang needs to apply a constant force equal to the hanging mass in oder to keep the string from going up too high or dropping down too low.
2. Centripetal force is pointing inward, towards the hanging mass (where the force is being provided).
3. If the speed of the stopper is increased, the force needed to keep the stopper moving around is also increased.
4. Acording to the graphs, if the speed of the revolution doubles, the centripetal force needed to keep the stopper moving would quadrupal (related exponentially; see graphs above).
5. Through graphical analysis, it was discovered that centripetal force is realted to the squared value of velocity for an object in circular motion.

Application
5. The friction between the turned tires and the off-ramp.
6. If a car goes too fast down an off-ramp and the force is greater than that provided on the road, the car will go out of control and the car would try to continue moving in in its original direction (law of inertia).
7. A quadrupal amount of force is required to make a turn off of an off-ramp if a car doubles its speed.